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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 18 — Jun. 20, 2008
  • pp: 3299–3306

Evaluation of centricity of optical elements by using a point spread function

Antonín Mikš, Jiří Novák, and Pavel Novák  »View Author Affiliations


Applied Optics, Vol. 47, Issue 18, pp. 3299-3306 (2008)
http://dx.doi.org/10.1364/AO.47.003299


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Abstract

Our work describes a technique for testing the centricity of optical systems by using the point spread function. It is shown that a specific position of an axial object point can be found for every optical element, where the spherical aberration is either zero or minimal. If we image such a point with an optical element, then its point spread function will be almost identical to the point spread function of the diffraction-limited optical system. This consequence can be used for testing the centricity of precisely fabricated optical elements, because we can simply detect asymmetry of the point spread function, which is caused by the decentricity of the tested optical element. One can also use this method for testing optical elements in connection with a cementing process. Moreover, a simple formula is also derived for calculation of the coefficient of third-order coma, which is caused by the decentricity of the optical surface due to a tilt of the surface with respect to the optical axis, and a simple method for detecting the asymmetry of the point spread function is proposed.

© 2008 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(120.4800) Instrumentation, measurement, and metrology : Optical standards and testing
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(220.1010) Optical design and fabrication : Aberrations (global)
(220.4840) Optical design and fabrication : Testing

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: March 20, 2008
Revised Manuscript: May 7, 2008
Manuscript Accepted: May 23, 2008
Published: June 12, 2008

Citation
Antonín Mikš, Jiří Novák, and Pavel Novák, "Evaluation of centricity of optical elements by using a point spread function," Appl. Opt. 47, 3299-3306 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-18-3299


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References

  1. A. Maréchal, Imagerie Géométrique Aberrations (Revue d'Optique, 1952).
  2. H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge U. Press, 1970).
  3. G. G. Slyusarev, Aberration and Optical Design Theory (Adam Hilger, 1984).
  4. M. Herzberger, Modern Geometrical Optics (Interscience, 1958).
  5. P. Mouroulis and J. Macdonald, Geometrical Optics and Optical Design (Oxford U. Press, 1997).
  6. M. Born and E. Wolf, Principles of Optics (Oxford U. Press, 1964).
  7. H. H. Hopkins, Wave Theory of Aberrations (Oxford U. Press, 1950).
  8. A. Cox, A System of Optical Design (Focal, 1964).
  9. H. Haferkorn, Bewertung optisher systeme (VEB Deutscher Verlag der Wissenschaften, 1986).
  10. W. T. Welford, Aberrations of the Symmetrical Optical Systems (Academic, 1974).
  11. A. Mikš, Applied Optics (Czech Technical University Press, 2000).
  12. A. N. Bardin, Optical Glass Technology (Higher Schools, 1963).
  13. D. F. Horne, Optical Production Technology (Institute of Physics, 1982).
  14. H. H. Karow, Fabrication Methods for Precision Optics(Wiley, 1993).
  15. M. A. Okatov, Handbook of Optical Technology (Politekhnika, 2004).
  16. H. H. Hopkins and H. J. Tiziani, “A theoretical and experimental study of lens centring errors and their influence on optical image quality,” Br. J. Appl. Phys. 17, 33-54 (1966). [CrossRef]
  17. M. Rimmer, “Analysis of perturbed lens systems,” Appl. Opt. 9, 533-537 (1970). [CrossRef] [PubMed]
  18. B. D. Stone, “Perturbations of optical systems,” J. Opt. Soc. Am. A , 14, 2837-2849 (1997). [CrossRef]
  19. L. I. Epstein, “The aberrations of slightly decentered optical systems,” J. Opt. Soc. Am. 39, 847-853 (1949). [CrossRef]
  20. H. A. Buchdahl, “Perturbations of the point characteristic,” J. Opt. Soc. Am. A 7, 2260-2263 (1990). [CrossRef]
  21. G. Wooters, “Lens centering in microscope objectives,” J. Opt. Soc. Am. 40, 521-523 (1950). [CrossRef]
  22. P. L. Ruben, “Aberrations arising from decentrations and tilts,” J. Opt. Soc. Am. 54, 45-52 (1964). [CrossRef]
  23. R. Gelles, “Off-center aberrations in nonaligned systems,” J. Opt. Soc. Am. 68, 1250-1254 (1978). [CrossRef]
  24. A. Mikš, J. Novák, and P. Novák, “Calculation of point-spread function for optical systems with finite value of numerical aperture,” Optik (Jena) 118, 537-543 (2007). [CrossRef]
  25. D. Malacara, Optical Shop Testing (Wiley, 2007). [CrossRef]
  26. D. Malacara, M. Servin, and Z. Malacara, Interferogram Analysis for Optical Testing (Taylor & Francis, 2005). [CrossRef]
  27. A. Mikš, “Modification of the formulas for third-order aberration coefficients,” J. Opt. Soc. Am. A 19, 1867-1871 (2002). [CrossRef]

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